Finding the Fourth Proportional to 1,009.67, 1,393.34 and 567.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.67 : 1,393.34 = 567.57 : x
2. Step 2: Convert to fraction form
   1,009.67/1,393.34 = 567.57/x
3. Step 3: Cross multiply
   1,009.67x = 1,393.34 × 567.57
4. Step 4: Simplify right side
   1,009.67x = 790,815.15
5. Step 5: Solve for x
   x = 790,815.15/1,009.67
6. Step 6: Final answer
   x = 783.24